The generator matrix

 1  0  1  1  1 X^2+X  1  1 X^2+X  1  1  0  1  1  X X^2+X  1  1  0  1  1 X^2  1  1  1  1 X^2+X  0  1  1  X  1 X^2+X  1  1  1  1  X X^2+X  1  1  1 X^2+X  0  1 X^2  1  0 X^2+X  1  1  1  1  1  X  1  1  1  X  1  1  1  X  1  1  1 X^2  1  1 X^2  1  1  X  1  1  1 X^2+X  1  0  1  1 X^2  0  1  1  1  1  X  X  1  1  1  1
 0  1  1  0 X^2+X+1  1 X^2 X^2+X+1  1  X  1  1  X X+1  1  1  1 X^2+X  1 X^2+1 X^2+X  1 X^2+X+1  0 X^2+1  X  1  1 X^2+X+1  X  1 X^2  1 X^2+X+1 X^2 X^2+1  X  1  1 X+1  1  X  1  1 X^2+1  1 X^2+X+1  1  1  1  1  X X^2+X+1 X^2+1  1  1  1 X^2+X  X X^2 X+1 X^2+X+1  1 X^2  X  1  1 X^2+1 X^2+X  1 X^2+X X^2  0  X  0 X^2+X+1  1 X^2+1  1  X  1  0  1  X X+1 X^2 X^2+1  1  1 X^2+X+1 X^2+X  X  0
 0  0  X  0 X^2+X  0  X X^2  X X^2  0 X^2+X  X X^2  0 X^2+X  X  X  0 X^2  0 X^2+X  X X^2+X X^2  X X^2+X  X  0  X  0  0 X^2  X X^2+X X^2  0  0  0  0 X^2  0  X X^2+X X^2+X X^2 X^2 X^2 X^2+X  X  X X^2+X  0  X  X X^2+X X^2 X^2+X  X  X  X  0  0  0 X^2 X^2+X X^2+X X^2  0  X  0 X^2  X  0 X^2 X^2 X^2 X^2+X  0 X^2 X^2  X X^2+X  0  X X^2+X  0 X^2+X X^2+X  X X^2  0  0
 0  0  0  X  0  0  0  X  X X^2+X X^2+X  X X^2  0 X^2+X X^2 X^2+X  X  X X^2  0 X^2 X^2+X X^2+X  X X^2  X X^2  X X^2+X  X  X  0 X^2  0 X^2 X^2+X X^2 X^2+X  0 X^2+X X^2  X  0 X^2+X  X  X  X  0  X  0  X  0 X^2+X X^2 X^2 X^2 X^2 X^2+X X^2 X^2+X X^2 X^2  0 X^2+X  0 X^2+X X^2+X  0  X  X X^2 X^2  X  X X^2+X X^2 X^2+X X^2 X^2  0 X^2+X  X X^2  X X^2+X X^2+X  X X^2 X^2 X^2  X  0
 0  0  0  0 X^2  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0 X^2 X^2 X^2 X^2 X^2 X^2 X^2 X^2 X^2 X^2 X^2 X^2 X^2 X^2 X^2 X^2 X^2 X^2  0 X^2 X^2  0  0 X^2 X^2  0 X^2 X^2  0  0 X^2 X^2  0 X^2 X^2  0 X^2  0  0  0  0  0 X^2  0 X^2  0 X^2  0  0 X^2 X^2  0 X^2  0  0 X^2 X^2  0 X^2 X^2  0  0  0  0 X^2 X^2 X^2  0  0  0  0
 0  0  0  0  0 X^2 X^2 X^2  0 X^2  0 X^2  0  0 X^2  0 X^2  0  0 X^2 X^2 X^2 X^2 X^2 X^2  0  0 X^2  0  0  0 X^2  0 X^2 X^2  0  0 X^2 X^2 X^2  0  0 X^2  0  0 X^2 X^2  0  0  0 X^2  0  0 X^2 X^2  0 X^2 X^2 X^2  0  0 X^2 X^2 X^2 X^2  0  0 X^2 X^2  0  0  0  0 X^2 X^2  0  0  0 X^2 X^2 X^2  0  0 X^2  0 X^2  0 X^2  0 X^2  0  0  0

generates a code of length 93 over Z2[X]/(X^3) who´s minimum homogenous weight is 85.

Homogenous weight enumerator: w(x)=1x^0+56x^85+162x^86+290x^87+225x^88+278x^89+408x^90+342x^91+236x^92+286x^93+373x^94+270x^95+252x^96+214x^97+209x^98+138x^99+104x^100+96x^101+47x^102+36x^103+5x^104+18x^105+9x^106+8x^107+6x^108+6x^109+6x^110+4x^111+2x^113+2x^114+1x^116+4x^117+1x^120+1x^124

The gray image is a linear code over GF(2) with n=372, k=12 and d=170.
This code was found by Heurico 1.16 in 1.87 seconds.